Pith Number

pith:BKLE5BFT

pith:2023:BKLE5BFTH5WTONDIT2JTXXJ2ZA

not attested not anchored not stored refs pending

A new class of nonparametric tests for second-order stochastic dominance based on the Lorenz P-P plot

Sirio Legramanti, Tommaso Lando

arxiv:2308.00317 v3 · 2023-08-01 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKLE5BFTH5WTONDIT2JTXXJ2ZA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T07:00:25.985849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a964e84b33f6d3734689e933bdd3ac83652b30d5e1038ad6cc77164d7c0eb69

Aliases

arxiv: 2308.00317 · arxiv_version: 2308.00317v3 · doi: 10.48550/arxiv.2308.00317 · pith_short_12: BKLE5BFTH5WT · pith_short_16: BKLE5BFTH5WTONDI · pith_short_8: BKLE5BFT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BKLE5BFTH5WTONDIT2JTXXJ2ZA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0a964e84b33f6d3734689e933bdd3ac83652b30d5e1038ad6cc77164d7c0eb69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38857b621daeba0a4cfffc5abe9806eb183b2a576c1a3eff34ff68be5f4d84a1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-08-01T06:28:51Z",
    "title_canon_sha256": "61afa9f43f37f8020bd996fa5a8e681ab597f0d553c26839ba274c7ea6ce4b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00317",
    "kind": "arxiv",
    "version": 3
  }
}